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Finding the Fourth Proportional to 30,687.22, 46,012.20 and 20,021.50

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Solution

The fourth proportional to 30,687.22, 46,012.20 and 20,021.50 is: 30,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,687.22 : 46,012.20 = 20,021.50 : x
  2. Step 2: Convert to fraction form
    30,687.22/46,012.20 = 20,021.50/x
  3. Step 3: Cross multiply
    30,687.22x = 46,012.20 × 20,021.50
  4. Step 4: Simplify right side
    30,687.22x = 921,233,262.30
  5. Step 5: Solve for x
    x = 921,233,262.30/30,687.22
  6. Step 6: Final answer
    x = 30,020.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.